Answer:
False
Step-by-step explanation:
The measure of an acute angle is less than 90°
The solution is (1,5) because when you plug in your x and y values none of the above answer make sense except (1,5)
Answer:
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and is not enough evidence to conclude that the claim is true.
Step-by-step explanation:
Data given
represent the sample mean
represent the sample standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
System of hypothesis
We need to conduct a hypothesis in order to check if the true mean exceed 29.9 or no, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Calculate the statistic
We can replace in formula (1) the info given like this:
P-value
The degrees of freedom are given by:
Since is a one sided test the p value would be:
Conclusion
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and is not enough evidence to conclude that the claim is true.
Answer:
.
Step-by-step explanation:
Given:

We need to find 
Solution:
First we will find the value of
.
Now taking
on both side we get;

Now we will find the
.
= 
Now we will find
we get;

Hence
.
Answer:
x = +/-10°
Step-by-step explanation:
[2(x+10)]°=
[2x + 20] =
[2x] = [-20]
2x/2 = -20/2
x = -10
(3x - 30)°
3x/3 = 30/3
x = 10